Exam 14: Multiple Regression Analysis

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If the correlation between the two independent variables of a regression analysis is 0.11, and each independent variable is highly correlated to the dependent variable, what does this indicate?

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In a multiple regression model, the ____ test statistic is used to test the significance of an independent variable's regression coefficient.

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Multiple regression analysis is applied when analyzing the relationship between __________.

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A researcher is studying the relationship between 10 different variables and a critical measure of business performance. What method can be used to select the best set of variables to predict performance?

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In multiple regression analysis, residuals (Y - Ŷ) are used to __________.

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The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income.   Which independent variable has the strongest association with the dependent variable? Which independent variable has the strongest association with the dependent variable?

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In an ANOVA table for a multiple regression analysis, the global test of significance is based on the _________.

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In multiple regression analysis, residuals (Y - Ŷ) are used to _____________.

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In multiple regression analysis, a dummy variable is ____________.

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In multiple regression analysis, a residual is the difference between the value of an independent variable and its corresponding dependent variable value.

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What does the multiple standard error of estimate measure?

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Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X1 - 3.5X2 (assuming other things are held constant), for a unit increase in the independent variable, X2, Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X<sub>1</sub> - 3.5X<sub>2</sub> (assuming other things are held constant), for a unit increase in the independent variable, X<sub>2</sub>,   will decrease by _______ units. will decrease by _______ units.

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The best example of a null hypothesis for a global test of a multiple regression model is _________.

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What-statistic is used to assess multicollinearity in multiple regression analysis?

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In a regression analysis, three independent variables are used in the equation based on a sample of 40 observations. In the ANOVA table for a multiple regression analysis, what are the degrees of freedom associated with the F-statistic?

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In multiple regression analysis, a dummy variable is coded as a _______.

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A multiple regression analysis showed the following ANOVA table result. A multiple regression analysis showed the following ANOVA table result.   Based on the information in the ANOVA, how many independent variables were included in the multiple regression analysis? Based on the information in the ANOVA, how many independent variables were included in the multiple regression analysis?

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Which statistic is used to test hypotheses about individual regression coefficients?

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It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores, X1, hours spent studying each week, X2, and one's high school average, X3. Suppose the regression equation is It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores, X<sub>1</sub>, hours spent studying each week, X<sub>2</sub>, and one's high school average, X<sub>3</sub>. Suppose the regression equation is   . The multiple standard error is 6.313 and R<sup>2</sup> = 0.826. Which independent variable has the smallest effect on GPA? . The multiple standard error is 6.313 and R2 = 0.826. Which independent variable has the smallest effect on GPA?

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Which of the following is a characteristic of the F distribution?

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